Posts by Collection

publications

  • Zero Cycles on Products of Elliptic Curves with Supersingular Reduction

    In Preperation

  • resources

  • SAGE Code for Hecke Nilpotency

    Published:

    SAGE code to compute the degree of Hecke nilpotency of level 1 cusp forms modulo 2.

  • The Brauer Group of Schemes

    Published:

    Basic theory of Azumaya Algebras.

  • The Cohomology of Finite Cyclic Groups

    Published:

    Computation of the group cohomology of finite cyclic groups.

  • The Chebotarev Density Theorem and Applications to Computing Galois Groups

    Published:

    We describe a method of computing Galois groups of polynomials using Frobenius elements.

  • Etale Algebras

    Published:

    Basic theory of etale algebras.

  • Hensel’s Lemma

    Published:

    Basic theory of complete noetherian rings and Hensel’s Lemma.

  • Spectral Sequences

    Published:

    Basic theory of Spectral Sequences with an application to the Serre-Hochschild Spectral Sequence.

  • talks

  • Inversion Formulas for the j-function Around Elliptic Points

    Published:

    This was a three minute lightning talk about inverting the j-function given during the “100 Years of Mock Theta Functions” Conference at VU.

  • teaching

  • Survey of Calculus II

    Undergraduate course, University of Virginia, Department of Mathematics, 2021

    This was a introductory calculus course taught as MATH 1320 at UVA. It was focused on integral calculus, sequences, series and differential equations.

  • Calculus II

    Undergraduate course, University of Virginia, Department of Mathematics, 2022

    This was a standard calculus course taught as MATH 1320 at UVA. It was focused on integral calculus, sequences, series and differential equations.